96813063648000 has 2880 divisors, whose sum is σ = 420025007001600. Its totient is φ = 21688462540800.

The previous prime is 96813063647999. The next prime is 96813063648019. The reversal of 96813063648000 is 84636031869.

96813063648000 is a `hidden beast` number, since 96 + 8 + 13 + 0 + 63 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 269674271821 + ... + 269674272179.

It is an arithmetic number, because the mean of its divisors is an integer number (145842016320).

Almost surely, 2^{96813063648000} is an apocalyptic number.

96813063648000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96813063648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210012503500800).

96813063648000 is an abundant number, since it is smaller than the sum of its proper divisors (323211943353600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96813063648000 is a wasteful number, since it uses less digits than its factorization.

96813063648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

Adding to 96813063648000 its reverse (84636031869), we get a palindrome (96897699679869).

The spelling of 96813063648000 in words is "ninety-six trillion, eight hundred thirteen billion, sixty-three million, six hundred forty-eight thousand".